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Numerical Integration by Simpson's 1/3 and 3/8 Rules

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Definite integrals can be approximated using numerical methods such as Simpson’s rule. A better approximation is obtained as you increase , the number of subintervals.

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Let and , where , and set .

Simpson's 1/3 rule: .

Simpson's 3/8 rule: .

In the graphic, approximations for a given are computed using the two rules and compared with the exact value of the integral.

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Contributed by: Rinashini Arunasalam (August 2016)
(OEMS IntiPakar Corporation Sdn Bhd)
Open content licensed under CC BY-NC-SA

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